The problem of testing for the presence/absence of a treatment effect in case of multi-treatment is attacked here through a new test-statistic based on the same ideas as the classical Kruskal-Wallis test. Its theoretical properties are studied, under both the null and the alternative hypothesis, and an approximation based on sub-sampling is proposed. Then, the problem of testing for stochastic dominance is also dealt with.

Methodological and Applied Statistics and Demography III - SIS 2024, Short Papers, Contributed Sessions 1 / Conti, Pier Luigi; De Giovani, Livia. - (2025), pp. 463-468. (Intervento presentato al convegno 52nd Scientific Meeting of the Italian Statistical Society tenutosi a Bari).

Methodological and Applied Statistics and Demography III - SIS 2024, Short Papers, Contributed Sessions 1

Pier Luigi Conti
Methodology
;
2025

Abstract

The problem of testing for the presence/absence of a treatment effect in case of multi-treatment is attacked here through a new test-statistic based on the same ideas as the classical Kruskal-Wallis test. Its theoretical properties are studied, under both the null and the alternative hypothesis, and an approximation based on sub-sampling is proposed. Then, the problem of testing for stochastic dominance is also dealt with.
2025
52nd Scientific Meeting of the Italian Statistical Society
,ulti-treatment; nonparametrics; Kruskal-Wallis; stochastic dominance
04 Pubblicazione in atti di convegno::04b Atto di convegno in volume
Methodological and Applied Statistics and Demography III - SIS 2024, Short Papers, Contributed Sessions 1 / Conti, Pier Luigi; De Giovani, Livia. - (2025), pp. 463-468. (Intervento presentato al convegno 52nd Scientific Meeting of the Italian Statistical Society tenutosi a Bari).
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/1733131
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